4456
55545t×6=4×6655×55335×/776555××
5y6y6626655÷××
4333567#$$
×÷$/
×3223=/÷=÷45522=445
Answer:
Total=4 +3=7
For the 4
4÷7×70=£40
For the 3
3÷7×70=£30
So the division of £70 in ratio 4:3 is £40:£30
Answer:
81-25k²
Step-by-step explanation:
We need to write the expression for "The quantity 81 minus 5k, squared".
Square of any number x is given by x².
Square of 5k is given by : (5k)²= 5²×k²=25k²
Now subtract 25k² from 81.
It means we get : 81-25k². It is required expression.
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
Answer:
x = -2
y = 3
Step-by-step explanation:
-5x + 3y = 19
x = 3y - 11
-5x + 3y = 19
-5(3y - 11) + 3y = 19
-15y + 55 + 3y = 19
-15y + 3y + 55 = 19
-12y + 55 = 19
-12y = 19 - 55
-12y = -36
y = -36/-12
<u>y = 3</u>
x = 3y - 11
x = 3(3) - 11
x = 9 - 11
<u>x = -2</u>